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Finding the Fourth Proportional to 2,001.52, 3,002.24 and 1,135.88

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Solution

The fourth proportional to 2,001.52, 3,002.24 and 1,135.88 is: 1,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.52 : 3,002.24 = 1,135.88 : x
  2. Step 2: Convert to fraction form
    2,001.52/3,002.24 = 1,135.88/x
  3. Step 3: Cross multiply
    2,001.52x = 3,002.24 × 1,135.88
  4. Step 4: Simplify right side
    2,001.52x = 3,410,184.37
  5. Step 5: Solve for x
    x = 3,410,184.37/2,001.52
  6. Step 6: Final answer
    x = 1,703.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.